What is the Least Common Multiple of 52592 and 52607?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 52592 and 52607 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52592 and 52607, than apply into the LCM equation.

GCF(52592,52607) = 1
LCM(52592,52607) = ( 52592 × 52607) / 1
LCM(52592,52607) = 2766707344 / 1
LCM(52592,52607) = 2766707344

Least Common Multiple (LCM) of 52592 and 52607 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52592 and 52607. First we will calculate the prime factors of 52592 and 52607.

Prime Factorization of 52592

Prime Factorization of 52607

Now multiplying the highest exponent prime factors to calculate the LCM of 52592 and 52607.

LCM(52592,52607) = 2⁴ × 19¹ × 173¹ × 31¹ × 1697¹
LCM(52592,52607) = 2766707344